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Finding the Fourth Proportional to 61,842.70, 92,654.70 and 52,438.60

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Solution

The fourth proportional to 61,842.70, 92,654.70 and 52,438.60 is: 78,565.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,842.70 : 92,654.70 = 52,438.60 : x
  2. Step 2: Convert to fraction form
    61,842.70/92,654.70 = 52,438.60/x
  3. Step 3: Cross multiply
    61,842.70x = 92,654.70 × 52,438.60
  4. Step 4: Simplify right side
    61,842.70x = 4,858,682,751.42
  5. Step 5: Solve for x
    x = 4,858,682,751.42/61,842.70
  6. Step 6: Final answer
    x = 78,565.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.